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22-07-2022
Mathematics

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first sequence: 3 8 13 18 23 second sequence: -2 4 10 16 . find the TWO numbers that are in both number sequences.

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subtomex0 subtomex0

22-07-2022

[tex]a(n) = 3 + 5n[/tex]

[tex]b(n) = - 2 + 6n[/tex]

[tex]a(n) = b(n) \\ 3 + 5n = - 2 + 6n \\ 5 = n \\ n = 5 \: (6th \: term)[/tex]

[tex]a(5) \: or \: b(5) = 3 + 5(5) = 28[/tex]

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